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Finding the Third Proportional to 981,679.50 and 2,140,749

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Solution

The third proportional to 981,679.50 and 2,140,749 is: 4,668,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,679.50 : 2,140,749 = 2,140,749 : x
  2. Step 2: Convert to fraction form
    981,679.50/2,140,749 = 2,140,749/x
  3. Step 3: Cross multiply
    981,679.50x = 2,140,749 × 2,140,749
  4. Step 4: Simplify right side
    981,679.50x = 4,582,806,281,001
  5. Step 5: Solve for x
    x = 4,582,806,281,001/981,679.50
  6. Step 6: Final answer
    x = 4,668,332.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.